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nordsb [41]
2 years ago
8

Use right triangle tools to find the unknown measures. Round lengths to the nearest tenth and angle measures to the nearest degr

ee.

Mathematics
1 answer:
timama [110]2 years ago
5 0

Step-by-step explanation:

OP=11.2

m<Q= 42⁰

m<R=48⁰

The tools used are....

I have used the property of Pythagoras Theorm to get the length of side QP, I have also used the property of inverse function of sin to get the measure of angle Q and the property of sum of angles of triangle to get measure of angle of R

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The radius of a circle is 4 feet. What is the area of a sector bounded by a 45° arc?
DIA [1.3K]

Answer:

Area = 6.28\  ft^2 or Area = 2  \pi\ ft^2

Step-by-step explanation:

Given

Radius, r = 4ft

Angle, \theta = 45

Required

Calculate the area of the sector

When angle is given in degrees, the area of sector is calculated as thus;

Area = \frac{\theta}{360} * \pi * r^2

Substitute\ r = 4\ and\ \theta = 45

Area = \frac{\theta}{360} * \pi * r^2 becomes

Area = \frac{45}{360} * \pi * 4^2

Area = \frac{45}{360} * \pi * 16

Area = \frac{45*16}{360} * \pi

Area = \frac{720}{360} * \pi

Area = 2 * \pi

Area = 2  \pi\ ft^2

The above is the area in terms of π

Solving further.... (Take π as 3.14)

Area = 2  \pi\ ft^2 becomes

Area = 2 * 3.14\  ft^2

Area = 6.28\  ft^2

Hence, the area of the sector is

Area = 6.28\  ft^2 or Area = 2  \pi\ ft^2

8 0
4 years ago
Yeah I need some help, I'm kinda confused on this entire test.
kozerog [31]

Answer:

Answer would be D

Step-by-step explanation:

4 0
3 years ago
Only 0.6% of the students at a high school did not attend the first football game. Write 0.6% as a fraction and as a decimal
Afina-wow [57]

Answer:

here my answer

Step-by-step explanation:

hope this helps

5 0
2 years ago
Working alone, it takes Kristin 11 hours to harvest a field. Kayla can harvest the same field in 16 hours. Find how long it woul
viktelen [127]

Answer:

(11 hrs + 16 hrs)/2 = 13.5 hrs

13.5 hrs /2 = 6.75 hrs

8 0
3 years ago
What is the solution for -10 &lt; x - 9?
enyata [817]
<span>-10 < x - 9

</span><span>-10+9 < x - 9+9

-1<x, or
x> - 1</span>
4 0
3 years ago
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